Laser-cooled, trapped ions (charged atoms) have proven to
be a fertile ground for fundamental studies in quantum mechanics. However, the
production of an assembly of completely motionless ions has proven challenging.
I present designs for a “box” for ions which, in principle, allows extraneous
motions to be eliminated to an arbitrary degree. This sort of trap could prove
an excellent setting for precision measurements, quantum information science,
and studies of ultracold atomic collisions.